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Commuting elements in a conjugacy class of finite groups

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Abstract

We presentmethods for verification of the following conjecture: A nonidentity conjugacy class in a finite simple group contains two commuting elements. By way of illustration, we consider sporadic groups, the projective group L n (q) and the alternating group A n .

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Authors and Affiliations

  1. R. E. Alekseyev Nizhny Novgorod State Technical University, ul. Minina 24, Nizhny Novgorod, 603950, Russia

    V. M. Galkin, L. N. Erofeeva & S. V. Leshcheva

Authors
  1. V. M. Galkin
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  2. L. N. Erofeeva
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  3. S. V. Leshcheva
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Corresponding author

Correspondence to V. M. Galkin.

Additional information

Original Russian Text © V.M. Galkin, L.N. Erofeeva, S.V. Leshcheva, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 8, pp. 12–20.

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Galkin, V.M., Erofeeva, L.N. & Leshcheva, S.V. Commuting elements in a conjugacy class of finite groups. Russ Math. 60, 9–16 (2016). https://doi.org/10.3103/S1066369X16080028

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  • DOI: https://doi.org/10.3103/S1066369X16080028

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